I'm not completely sold on it. Most people with no substance abuse issues at all talk themselves out of exercising. Next week there will be tens of thousands of new gym memberships for the year and by March there will only be a fraction still going to the gym.
However, the mental disposition that can lead one to being self-destructive with substances in the first place, I could see as being too depressed or apathetic to exercise, but that doesn't seem like an AV thing to me. I was running 50 miles a week and lifting 4 hours a week when I was deep into boozing. If anything, it masked my drinking problem quite a bit.